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FREE FCTC Numerical Reasoning Question and Answers Flashcards

6 cards from real FCTC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 FREE FCTC Numerical Reasoning Question and Answers flashcards as text

  1. A firefighter drives 14 miles to a station in 20 minutes. What is the average speed in miles per hour?

    Answer: 42 mph

    Speed = 14 miles ÷ (20/60) hours = 14 × 3 = 42 mph.

  2. A department purchases 8 sets of turnout gear at $1,450 each and 5 helmets at $210 each. What is the total cost?

    Answer: $12,650

    (8 × $1,450) + (5 × $210) = $11,600 + $1,050 = $12,650.

  3. A building has 6 floors, each 12 feet high. Including a 4-foot parapet wall on the roof, what is the total height of the building?

    Answer: 76 feet

    (6 × 12) + 4 = 72 + 4 = 76 feet.

  4. Out of 240 fire inspections, 15% resulted in violations. How many inspections had NO violations?

    Answer: 204

    15% had violations = 0.15 × 240 = 36; 240 − 36 = 204 had no violations.

  5. A fire hose is 50 feet long. If 3 hoses are connected end-to-end and then 25 feet are removed, what is the total length?

    Answer: 125 feet

    (3 × 50) − 25 = 150 − 25 = 125 feet.

  6. A crew of 4 firefighters completes a training drill in 36 minutes. If 2 more firefighters join and efficiency scales linearly, how long would all 6 take to complete the same drill?

    Answer: 24 minutes

    Total work = 4 × 36 = 144 person-minutes; 144 ÷ 6 = 24 minutes.